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In this paper, we assume that dimensions mean the large inductive dimension Ind and the covering dimension dim. It is well known that IndX=dimX for each metric space X. J. Kulesza (1995) [7] proved the theorem that every compact metric n-dimensional dynamical system with zero-dimensional set of periodic points can be covered by a compact metric zero-dimensional dynamical system via an at most (n+1)n-to-one...